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Finding the Fourth Proportional to 2,784.14, 4,177.14 and 1,485.32

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Solution

The fourth proportional to 2,784.14, 4,177.14 and 1,485.32 is: 2,228.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,784.14 : 4,177.14 = 1,485.32 : x
  2. Step 2: Convert to fraction form
    2,784.14/4,177.14 = 1,485.32/x
  3. Step 3: Cross multiply
    2,784.14x = 4,177.14 × 1,485.32
  4. Step 4: Simplify right side
    2,784.14x = 6,204,389.58
  5. Step 5: Solve for x
    x = 6,204,389.58/2,784.14
  6. Step 6: Final answer
    x = 2,228.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.